{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Infrared F/4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "from optiland import materials, optic"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "class InfraredTripletF4(optic.Optic):\n",
    "    \"\"\"4-in. IR Triplet, f/4\n",
    "\n",
    "    Milton Laikin, Lens Design, 4th ed., CRC Press, 2007, p. 57\n",
    "    \"\"\"\n",
    "\n",
    "    def __init__(self):\n",
    "        super().__init__()\n",
    "\n",
    "        # refractive index at 4.2 µm\n",
    "        germanium = materials.IdealMaterial(n=4.002)\n",
    "        silicon = materials.IdealMaterial(n=3.4222)\n",
    "\n",
    "        self.add_surface(index=0, radius=np.inf, thickness=np.inf)\n",
    "        self.add_surface(index=1, radius=2.0721, thickness=0.1340, material=silicon)\n",
    "        self.add_surface(index=2, radius=3.5488, thickness=0.2392)\n",
    "        self.add_surface(index=3, thickness=0.6105, is_stop=True)\n",
    "        self.add_surface(index=4, radius=13.7583, thickness=0.1, material=germanium)\n",
    "        self.add_surface(index=5, radius=1.7491, thickness=0.8768)\n",
    "        self.add_surface(index=6, thickness=0.1462, material=silicon)\n",
    "        self.add_surface(index=7, radius=-3.5850, thickness=2.8386)\n",
    "        self.add_surface(index=8)\n",
    "\n",
    "        self.set_aperture(aperture_type=\"imageFNO\", value=4)\n",
    "\n",
    "        self.set_field_type(field_type=\"angle\")\n",
    "        self.add_field(y=0)\n",
    "        self.add_field(y=2.45)\n",
    "        self.add_field(y=3.5)\n",
    "\n",
    "        self.add_wavelength(value=4.2, is_primary=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens = InfraredTripletF4()\n",
    "lens.draw()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
